A data sufficiency question in coordinate geometryDoes the line x + y = 6 intersect or touch circle C with radius 5 units?1. Center of the circle lies in the third quadrant.2. Point (-4, -4) does not lie inside the circle.Correct Answer is Choice E. The data is INSUFFICIENT.Explanatory AnswerThe … [Read more...]

## DS Coordinate Geometry : Quadrants

Data Sufficiency in Coordinate Geometry.Here is an interesting question on intercepts and points of intersection of two perpendicular lines.QuestionLine L is perpendicular to line K whose equation is 3y = 4x + 12; Lines L and K intersect at (p, q).Is p + q > 0?1. x intercept of Line L is less … [Read more...]

## Coordinate Geometry DS – Slope of Lines

Here is a data sufficiency question from Coordinate geometry. Is the slope 'm' of the line y = mx + c positive? 1. The x and y intercepts are both negative. 2. The line passes through the first quadrant.Correct Answer : Choice A. Statement 1 alone is sufficient.Explanatory AnswerPositive … [Read more...]

## Geometry Triangles Data Sufficiency

Here is a DS question on Geometry on basic properties of triangles.Is triangle ABC with sides a, b and c acute angled?1. Triangle with sides a^2, b^2, c^2 has an area of 140 sq cms.2. Median AD to side BC is equal to altitude AE to side BC.The correct answer is Choice A. Statement 1 alone is … [Read more...]

## GMAT Geometry DS

DirectionsThis data sufficiency problem consists of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge … [Read more...]

## GMAT Coordinate Geometry

Here is a question in coordinate geometry. The primary idea tested by this question is one's understanding about equations of straight lines. Set S contains points whose abscissa and ordinate are both natural numbers. Point P, an element in set S has the property that the sum of the distances from … [Read more...]